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Simplifying 4w + -10 = 6(w + 1) Reorder the terms: -10 + 4w = 6(w + 1) Reorder the terms: -10 + 4w = 6(1 + w) -10 + 4w = (1 * 6 + w * 6) -10 + 4w = (6 + 6w) Solving -10 + 4w = 6 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -10 + 4w + -6w = 6 + 6w + -6w Combine like terms: 4w + -6w = -2w -10 + -2w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 -10 + -2w = 6 + 0 -10 + -2w = 6 Add '10' to each side of the equation. -10 + 10 + -2w = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -2w = 6 + 10 -2w = 6 + 10 Combine like terms: 6 + 10 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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